Cubic inches per hour to Cubic kilometers per second conversion

How to convert cubic inches per hour to cubic kilometers per second?

To convert 1 cubic inch per hour (in³/hr) to cubic kilometers per second (km³/s), you need to follow a series of unit conversions. Let's go step-by-step.

1. Convert cubic inches to cubic meters:

   We know that:

   • 1 inch = 0.0254 meters
   • Therefore, 1 cubic inch = (0.0254 meters)³ = 1.6387 x 10^-5 cubic meters (m³)

2. Convert hours to seconds:

   • 1 hour = 3600 seconds

3. Combine the two conversions:

   • 1 in³/hr = 1.6387 x 10^-5 m³ / 3600 s

4. Convert cubic meters to cubic kilometers:

   • 1 cubic meter (m³) = 1 x 10^-9 cubic kilometers (km³)

Now, putting it all together:

1 in³/hr = $\frac{1.6387 \times 10^{-5} \text{ m³}}{3600 \text{ s}}$ $\times 10^{-9}$ km³/m³

= $4.552 \times 10^{-15}$ km³/s

So, 1 cubic inch per hour is equal to $4.552 \times 10^{-15}$ cubic kilometers per second.

Real-World Examples for Other Quantities of Cubic Inches per Hour:

1. Aquarium Water Pump: A small aquarium water pump might have a flow rate of around 500 cubic inches per hour.

   • In km³/s: 500 in³/hr = 500 * $4.552 \times 10^{-15}$ km³/s = $2.276 \times 10^{-12}$ km³/s

2. Residential Plumbing: A residential water pipe might deliver around 720,000 cubic inches per hour.

   • In km³/s: 720,000 in³/hr = 720,000 * $4.552 \times 10^{-15}$ km³/s = $3.276 \times 10^{-9}$ km³/s

3. Fire Engine Hose: A fire engine hose might deliver about 3,600,000 cubic inches per hour.

   • In km³/s: 3,600,000 in³/hr = 3,600,000 * $4.552 \times 10^{-15}$ km³/s = $1.639 \times 10^{-8}$ km³/s

4. Industrial Pumps: Large industrial pumps used in chemical processing might move 100,000,000 cubic inches per hour.

   • In km³/s: 100,000,000 in³/hr = 100,000,000 * $4.552 \times 10^{-15}$ km³/s = $4.552 \times 10^{-7}$ km³/s

In each case, we use the same conversion factor $4.552 \times 10^{-15}$ to convert cubic inches per hour to cubic kilometers per second.